EPSG:1056

Note: These formulas have been transcribed from EPSG Guidance Note #7-2. Users are encouraged to use that document rather than the text which follows as reference because limitations in the transcription will be avoided.

The transformation between source and target CRS geocentric coordinates is a two-step process. The first step is to compute the values of seven Helmert transformation parameters at the required epoch. The second step is to apply a seven-parameter Helmert transformation to the source CRS coordinates. This Coordinate Frame rotation is expressed in matrix form as:

(Xt)        (  1     +rZ'  -rY')     (Xs)    (tX')
(Yt) = M' * ( -rZ'    1    +rX')  *  (Ys)  + (tY')
(Zt)        ( +rY'  -rX'     1 )     (Zs)    (tZ')

where 
tX' = tX + dtX (t – t0)
tY' = tY + dtY (t – t0)
tZ' = tZ + dtZ (t – t0)
rX' = rX + drX (t – t0)
rY' = rY + drY (t – t0)
rZ' = rZ + drZ (t – t0)
dS' = dS + ddS (t – t0)
M' = 1 + dS'

and the parameters are defined as: 
(tX', tY', tZ'): Translation vector, to be added to the point's position vector
in the source coordinate reference system in order to transform from source
coordinate reference system to target coordinate reference system; also: the
coordinates of the origin of source coordinate reference system in the target
frame.

(rX', rY', rZ'): Rotations to be applied to the coordinate reference frame.
The sign convention is such that a positive rotation of the frame about an
axis is defined as a clockwise rotation of the coordinate reference frame when
viewed from the origin of the Cartesian coordinate reference system in the positive
direction of that axis, that is a positive rotation about the Z-axis only from
source coordinate reference system to target coordinate reference system will
result in a smaller longitude value for the point in the target coordinate reference
system. Although rotation angles may be quoted in any angular unit of measure,
the formula as given here requires the angles to be provided in radians.

M': The time-adjusted scale correction to be made to the position vector in the source coordinate reference system in order to obtain the correct scale in the target coordinate reference system. M' = (1 + dS'). When the time-adjusted scale difference dS' is expressed in parts per million, M' = (1 + dS'*10^-6). When the time-adjusted scale difference dS' is expressed in parts per billion, M' = (1 + dS'*10^-9).